一维二相自由边界问题

The two-phase free boundary problem in one-dimensional

研究Bingham流体上的一维二相自由边界问题,该问题的特点在于自由边界条件比较特殊,在边界上没有明确的表达式。本文利用不动点定理证明了局部解的存在性。

In this paper we consider a two-phase free boundary problem in one-dimensional of Bingham fluids. The main feature is the very peculiar structure of the free boundary condition, on which u and v are not prescribed. Local existence is proved by using a fixed point theorem.